Facets of the K-partition Polytope

  title={Facets of the K-partition Polytope},
  author={Sunil Chopra and M. R. Rao},
  journal={Discrete Applied Mathematics},
We study facets of the k-partition polytope Pk.+, the convex hull of edges cut by r-partitions of a complete graph for r < k, k 2 3. We generalize the hypermetric and cycle inequalities (see Deza and Laurent, 1992) from the cut polytope to Pk.,, k 2 3. We give some sufficient conditions under which these are facet defining. We show the anti-web inequality introduced by Deza and Laurent (1992) to be facet defining for Pi,_, k 2 3. We also give lifting procedures for constructing facets of Pk… CONTINUE READING

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